# What is the GCF of 4 and 18?

The greatest common factor (GCF) or in other words the highest common factor (HCF) of two numbers 4 and 18 is the largest possible number which exactly divides both the given numbers.

## Answer: GCF of 4 and 18 is 2

Let us see how to find the GCF of 4 and 18

## Explanation:

The greatest common factor of two numbers is the highest among all the common factors.

Methods to Find GCF(4, 18)

- Listing the common factors method
- Long division Method

### Method 1:** **GCF(4,18) by Listing the Common Factors

In this method,

- We list all the factors of 4 and 18
- Identify the common factors.
- The highest among the common factors is the GCF of 4 and 18.

Factors of 4: 1, 2, 4

Factors of 18: 1, 2, 3, 6, 9, 18

Common Factors of 4 and 18: 1

Greatest common factor = 1, 2

GCF of 4 and 18 is 2

### Method 2: GCF(4,18) by Long Division

- Divide 18 by 4 and check the remainder.
- Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
- Continue till you get the remainder as 0.
- The last divisor is the GCF(4, 18).

GCF of 4 and 18 always remains the same as 2 irrespective of the method we opt for.

### Therefore, GCF of 4 and 18 is 2

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